An Extension of a Theorem by A. Constantin on a Two-Point Boundary Value Problem
โ Scribed by Dong Yujun
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 76 KB
- Volume
- 255
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
โฆ Synopsis
2 2 h t, x, y F M x q y for all t, x, y g 0, 1 = R , where
2 w x Then problem 1 , 2 has at least one solution x g C 0, 1 .
๐ SIMILAR VOLUMES
We improve the results obtained by the first author in a recent paper where a problem raised by A. Ambrosetti, H. Brezis, and G. Cerami concerning the exact structure of the set of solutions for a class of two-point boundary value problems was solved. Here we study a more general problem and get mor
Existence of a unique solution for a class of regular singular two point boundary value problems . and with quite general conditions on f x, y . These conditions on f x, y are sharp, which is seen through one example. Regions for multiple solutions have also been determined.